How is multiplying by the reciprocal the same as diving?

for example

2/3 the reciprocal is 3/2

and when you divide 2/3 you have to "flip" it and it is 3/2

then you still have to multiply the same thing

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

765238725478629038640962136509762139056074

step-by-step explanation:

64087235609746097215074621039754021037